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Conditions for designing single-mode air-core waveguides in three-dimensional photonic crystals
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10.1063/1.2362983
/content/aip/journal/apl/89/16/10.1063/1.2362983
http://aip.metastore.ingenta.com/content/aip/journal/apl/89/16/10.1063/1.2362983
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Dielectric constant of the bcc structure, plotted in the cubic unit cell of length . The gray regions represent Si. Plotted in black on the right panel are the maxima of dielectric constant projected on the three Cartesian planes.

Image of FIG. 2.
FIG. 2.

(Color online) Band structures for waveguides in the bcc gyroid crystal. The shaded areas indicate the propagating modes in the perfect three-dimensional photonic crystal. The linear defects are along the direction. (a) The linear defect is an air cylinder of radius centered at (0,0,0). (b) The linear defect is made of an array of air spheres of radius . The spheres are centered in the high-intensity regions at . The insets of these two figures show the energy in the electric field at the Brillouin zone center for the modes in the band gap. At the center of each plot, the circle represents the position of the air defect introduced.

Image of FIG. 3.
FIG. 3.

(Color online) Energy in the electric field for the bulk modes in the two bands right below the gap at the Brillouin zone center. Plotted here are the maxima of energy projected on the three Cartesian planes. The areas labeled correspond to the high-energy regions.

Image of FIG. 4.
FIG. 4.

(Color online) Large angle splitter, demonstrated by a FDTD simulation. The structure has a vertical waveguide made by removing dielectric regions corresponding to label in Fig. 3, and a horizontal waveguide made by removing dielectric regions corresponding to label .

Image of FIG. 5.
FIG. 5.

Band structures for waveguides in the bcc gyroid crystal. The shaded areas indicate the propagating modes in the perfect three-dimensional photonic crystal. The linear defects are made of arrays of air spheres along the direction. The spheres of radius are centered in the high-intensity regions labeled in Fig. 3.

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/content/aip/journal/apl/89/16/10.1063/1.2362983
2006-10-17
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Conditions for designing single-mode air-core waveguides in three-dimensional photonic crystals
http://aip.metastore.ingenta.com/content/aip/journal/apl/89/16/10.1063/1.2362983
10.1063/1.2362983
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